The finite element method : an introduction with partial differential equations
著者
書誌事項
The finite element method : an introduction with partial differential equations
Oxford University Press, 2011
2nd ed
大学図書館所蔵 全6件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliograpical references (p. [288]-294)
内容説明・目次
内容説明
The finite element method is a technique for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson's equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational
approach is also explained.
This book is written at an introductory level, developing all the necessary concepts where required. Consequently, it is well-placed to be used as a textbook for a course in finite elements for final year undergraduates, the usual place for studying finite elements. There are worked examples throughout and each chapter has a set of exercises with detailed solutions.
目次
- 1. Historical introduction
- 2. Weighted residual and variational methods
- 3. The finite element method for elliptical problems
- 4. Higher-order elements: the isoparametric concept
- 5. Further topics in the finite element method
- 6. Convergence of the finite element method
- 7. The boundary element method
- 8. Computational aspects
- 9. References
- APPENDICES
- A. Partial differential equation models in the physical sciences
- B. Some integral theorems of the vector calculus
- C. A formula for integrating products of area coordinates over a triangle
- D. Numerical integration formulae
- E. Stehfest's formula and weights for numerical Laplace transform inversion
「Nielsen BookData」 より